### Triangle Classification ProblemA triangle with side lengths \(2\), \(4\sqrt{6}\), and \(10\) is what type of triangle?**Options**:a) Acute b) Right c) There is not enough information to determine the answer. d) Obtuse To solve this, we need to apply the triangle inequality theorem and Pythagorean theorem.**Triangle Inequality Theorem**: The sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side. Check:- \(2 + 4\sqrt{6} > 10\)- \(2 + 10 > 4\sqrt{6}\)- \(4\sqrt{6} + 10 > 2\)**Pythagorean Theorem for Right Triangles**: To determine if the triangle is right, check if \(a^2 + b^2 = c^2\), where \(c\) is the longest side.**Comparisons for Acuteness or Obtuseness**:- If \(a^2 + b^2 > c^2\), the triangle is acute.- If \(a^2 + b^2 < c^2\), the triangle is obtuse.You can verify these conditions to determine the correct type of triangle.

Name: ### Triangle Classification ProblemA triangle with side lengths \(2\)
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Description: ### Triangle Classification ProblemA triangle with side lengths \(2\), \(4\sqrt{6}\), and \(10\) is what type of triangle?**Options**:a) Acute b) Right c) There is not enough information to determine the answer. d) Obtuse To solve this, we need

Given side lengths of triangle are 2, 46 and 10. Note that, 22+ 462=1024+16·6=1004+96=100100=100…

Answered: A triangle with side lengths 2, 4V6,…

Math

Trigonometry

A triangle with side lengths 2, 4V6, and 10 is what type of triangle? a) OAcute b) ORight c) OThere is not enough information to determine the answer. d) OObtuse

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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